报告一

题目：Dimensions of (statistically) self-affine sponges

报告人：Julien Barral (Université Sorbonne Paris Nord) 

时间：7月8日（周二）9:00-10:00

地点：理科楼B201

摘要：We will discuss some recent developments in the dimensional theory of (statistically) self-affine measures and sets in $R^d$, and in particular the role played by inhomogeneous multiplicative cascades on certain (statistically) self-affine sponges in dimension $\ge 3$.

报告二

题目: On spectral analysis of Thue-Morse Hamiltonian

报告人：刘庆晖（北京理工大学）

时间：7月8日（周二）10:30-11:30

地点：理科楼B201

摘要: We summarize known result on spectral analysis of quasi-periodic Schrodinger operator with Thue-Morse potential, and introduce our recent improvement on it.

报告三

题目： Non-autonomous dynamics of non-hyperbolic exponential maps.  

报告人：姚潇（南开大学）

时间：7月8日（周二）14:30-15:30

地点：理科楼B201

摘要： In 1980s, Rees proved exp(z) is not recurrent and Lyubich proved exp(z) is not ergodic with respect to Lebesgue measure almost the same time, which can be seen as transcendental version of Mane's theorem. Urbanski and Zdunik refined Lyubich, Rees' results in both autonomous and random setting. Recently, we improved Urbanski and Zdunik's results in the non-autonomous setting, and showed that random assumption is indeed not necessary.  This work is jointed with Jiaxing Huang in Shenzhen University.  If time permits, I will also talk about characterization of Fatou-Julia dichotomy, Baker's theory on multiply connected Fatou components, and big annuli theorem in this setting.

报告四

题目：A measure without local dimension on Cantor set and its multifractal analysis.

报告人：袁志会（东华理工大学）

时间：7月8日（周二）16:00-17:00

地点：理科楼B201

摘要：In this talk, we will introduce a measure on the Cantor set such that the local dimension does not exists for any point in its support. And we will try to find the Hausdroff and Packing dimension spectra for the level sets defined by lower and upper local dimensions.

邀请人：瞿燕辉